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Three Numbers Arithmetic Demo

Three Numbers Arithmetic Demo
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2017-11-22 16:58
FunctionProbability & StatisticsGeometric Construction
This example demonstrates arithmetic operations and geometric representations involving three numbers, showcasing the relationship between numbers and shapes through dynamic interaction. Core math concepts include arithmetic, geometric, and harmonic means, as well as binomial distributions. It uses commands like Shuffle, RandomElement, Sequence, Ellipse, Point, Intersect, Polygon, Element, and If in GeoGebra for random number generation and geometric construction, making it suitable for high school and above mathematics teaching, particularly in probability statistics and number-shape integration.

GeoGebra Commands & Parameters

  1. Shuffle(numlist) → numsh, {44, 2, 14, 31, 7, 33, 1, 26, 49, 46, 8, 41, 10, 32, 20, 5, 24, 3, 40, 35, 37, 23, 34, 38, 4, 27, 16, 42, 18, 28, 9, 11, 43, 21, 25, 30, 50, 13, 15, 29, 39, 22, 12, 0, 47, 19, 45, 17, 6, 48, 36}
  2. Shuffle(list1) → list2, {2, 5, 4, 9, 6, 8, 7, 1, 3}
  3. RandomElement(list1) → a
  4. RandomElement(list1) → b
  5. RandomElement(list1) → c
  6. RandomElement(list1) → d
  7. RandomElement(list1) → e
  8. RandomElement(list1) → f
  9. RandomElement(list1) → g
  10. RandomElement(list1) → h
  11. RandomElement(list1) → i
  12. RandomElement(list1) → j
  13. RandomElement(list1) → k
  14. RandomElement(list1) → l
  15. RandomElement(list1) → m
  16. RandomElement(list1) → n
  17. RandomElement(list1) → o
  18. RandomElement(list1) → p
  19. RandomElement(list1) → q
  20. RandomElement(list1) → r
  21. RandomElement(list1) → s
  22. RandomElement(list1) → t
  23. Sequence(Segment[((3 * n), 0), ((3 * n), 21)], n, 0, 7) → L
  24. Sequence(Segment[(0, (3 * n)), (21, (3 * n))], n, 0, 7) → L1
  25. Ellipse(A, B, C) → c_1
  26. Point(yAxis) → D
  27. Point(L1) → E
  28. Point(xAxis) → F
  29. Intersect(xAxis, yAxis) → G
  30. Polygon(D, E, F, G) → q1, d_1, e_1, f_1, g_1
  31. Element(numsh, el) → number
  32. If(number < 10, (10, 22.2), (9.2, 22.2)) → H